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Finding the Fourth Proportional to 435.24, 600.18 and 310.92

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Solution

The fourth proportional to 435.24, 600.18 and 310.92 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.24 : 600.18 = 310.92 : x
  2. Step 2: Convert to fraction form
    435.24/600.18 = 310.92/x
  3. Step 3: Cross multiply
    435.24x = 600.18 × 310.92
  4. Step 4: Simplify right side
    435.24x = 186,607.97
  5. Step 5: Solve for x
    x = 186,607.97/435.24
  6. Step 6: Final answer
    x = 428.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.